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ÎÄÕÂÌâÄ¿ LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory
×÷Õß Xiongrui Wang, Ruofeng Rao, Shouming Zhong
ÆÚ¿¯ Mathematical Problems in Engineering
Äê 2015
ÆÚ¾í Ò³Âë Volume 2015, Article ID 281681, 10 pages
È«ÎÄÁ´½Ó https://dx.doi.org/10.1155/2015/281681
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zh09: ½ð±Ò+10 2016-12-25 22:30:03
lazy½õϪ: LS-EPI+1 2016-12-26 09:45:51
LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory
×÷Õß:Wang, XR (Wang, Xiongrui)[ 1,2 ] ; Rao, RF (Rao, Ruofeng)[ 2 ] ; Zhong, SM (Zhong, Shouming)[ 3 ]
MATHEMATICAL PROBLEMS IN ENGINEERING
ÎÄÏ׺Å: 281681
DOI: 10.1155/2015/281681
³ö°æÄê: 2015
²é¿´ÆÚ¿¯ÐÅÏ¢
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Linear matrices inequalities (LMIs) method and the contraction mapping theorem were employed to prove the existence of globally exponentially stable trivial solution for impulsive Cohen-Grossberg neural networks (CGNNs). It is worth mentioning that it is the first time to use the contraction mapping theorem to prove the stability for CGNNs while only the Leray-Schauder fixed point theorem was applied in previous related literature. An example is given to illustrate the effectiveness of the proposed methods due to the large allowable variation range of impulse.
¹Ø¼ü´Ê
KeyWords Plus:GROSSBERG NEURAL-NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS
×÷ÕßÐÅÏ¢
ͨѶ×÷ÕßµØÖ·: Rao, RF (ͨѶ×÷Õß)
              Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China.
µØÖ·:
              [ 1 ] Yibin Univ, Dept Math, Yibin 644007, Peoples R China
              [ 2 ] Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 3 ] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
µç×ÓÓʼþµØÖ·:ruofengrao@163.com
»ù½ð×ÊÖúÖÂл
»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
Scientific Research Fund of Science Technology Department of Sichuan Province        
2012JY010
Sichuan Educational Committee Science Foundation        
08ZB002
12ZB349
14ZA0274
²é¿´»ù½ð×ÊÖúÐÅÏ¢   
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HINDAWI PUBLISHING CORP, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
Àà±ð / ·ÖÀà
Ñо¿·½Ïò:Engineering; Mathematics
Web of Science Àà±ð:Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications
ÎÄÏ×ÐÅÏ¢
ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000365524400001
ISSN: 1024-123X
eISSN: 1563-5147
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: CX2KA
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 21
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0
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